Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points on the line

From the graph, we can see two clear points: \((0, 3)\) (where the line crosses the y - axis) and \((-1, -1)\) (the other marked point). Let \((x_1,y_1)=(0, 3)\) and \((x_2,y_2)=(-1, -1)\).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substitute the values of the points into the formula:
\(m=\frac{-1 - 3}{-1 - 0}=\frac{-4}{-1} = 4\).

Answer:

The slope of the line is \(4\).